What is the domain and range?

Answer:

[tex]x^{3} (x^{2} -9)[/tex]

[tex]x^{3} (x+3)(x-3)[/tex]

zeros at : 0,3,-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because of the Isosceles Triangle Theorem, the angles across from the congruent sides will be congruent. That means that the angle x also measures 42 degrees.

Hello!

f(x) = x² + 12x <=>

<=> a = 1, b = 12 <=>

<=> x = -12/2×1 <=>

<=> x = -6 <=>

<=> f(-6) = -36 <=>

<=> (-6; -36)

Good luck! :)

Answer:

-72

Step-by-step explanation:

-8×-9

=-72

hope it helps you..

Answer:

0.4476

Step-by-step explanation:

Answer:

Difference between average day temperature and average night temperature = 70°

Step-by-step explanation:

Given;

Average day temperature = 43° C

Average night temperature = -30° C

Find:

Difference between average day temperature and average night temperature

Computation:

Difference between average day temperature and average night temperature = Average day temperature - Average night temperature

Difference between average day temperature and average night temperature = 43 - (-30)

Difference between average day temperature and average night temperature = 70°

Answer:

I hope this helps. There is a link

b

So what is that distance well we know that to get to negative 4 pi over 3 we took negative pi and travelled pi over 3.. So this is just pi over 3.. So our reference angle would be pi over 3.

Step-by-step explanation:

Answer:

90 diagonais.

Step-by-step explanation:

[tex]n(n-3)/2=15(15-3)/2=15*6=90[/tex]

Answer:

Step-by-step explanation:

Answer:

I don't see a yellow point

Answer:

B. 7.2

Step-by-step explanation:

radius=24÷2= 12

other line =19.2÷2=9.6 because line from centre bisects chord and is perpendicular to it

Therefore: X²=√ 12²-9.6² ( theorem of Pythagoras)

X=7.2

The equation will be:

25 + d = t

where t is total money

Answer:

y=0.5x-3.5

Step-by-step explanation:

(-4)-(-5)=1

3-1=2

1/2=0.5

y=0.5x-3.5

Answer:

[tex]y=-2y-7[/tex]

Step-by-step explanation:

Coordinates plotted on the equation:

[tex](1,-4)[/tex]

[tex](4,-5)[/tex]

{check the image for your reference}

Answer:

x = number of children tickets sold = 82 tickets

y = number of adult tickets sold = 64 tickets

Step-by-step explanation:

Let

x = number of children tickets sold

y = number of adult tickets sold

x + y = 146 (1)

5.70x + 9.50y = 1075.40 (2)

From (1)

x = 146 - y

Substitute x = 146 - y into (2)

5.70x + 9.50y = 1075.40 (2)

5.70(146 - y) + 9.50y = 1075.40

832.2 - 5.70y + 9.50y = 1075.40

- 5.70y + 9.50y = 1075.40 - 832.2

3.8y = 243.2

y = 243.2/3.8

y = 64

Substitute y = 64 into (1)

x + y = 146

x + 64 = 146

x = 146 - 64

x = 82

x = number of children tickets sold = 82 tickets

y = number of adult tickets sold = 64 tickets

the answer is in the picture

Given:

30-hour review course average a score of 620 on that exam.

70-hour review course average a score of 749.

To find:

The linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course.

Solution:

Let x be the number of hours of review course and y be the average score on that exam.

30-hour review course average a score of 620 on that exam. So, the linear function passes through the point (30,620).

70-hour review course average a score of 749. So, the linear function passes through the point (70,749).

The linear function passes through the points (30,620) and (70,749). So, the linear equation is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-620=\dfrac{749-620}{70-30}(x-30)[/tex]

[tex]y-620=\dfrac{129}{40}(x-30)[/tex]

[tex]y-620=\dfrac{129}{40}(x)-\dfrac{129}{40}(30)[/tex]

[tex]y-620=\dfrac{129}{40}(x)-\dfrac{387}{4}[/tex]

Adding 620 on both sides, we get

[tex]y=\dfrac{129}{40}x-\dfrac{387}{4}+620[/tex]

[tex]y=\dfrac{129}{40}x+\dfrac{2480-387}{4}[/tex]

[tex]y=\dfrac{129}{40}x+\dfrac{2093}{4}[/tex]

We need to find the y-value for [tex]x=57[/tex].

[tex]y=\dfrac{129}{40}(57)+\dfrac{2093}{4}[/tex]

[tex]y=183.825+523.25[/tex]

[tex]y=707.075[/tex]

[tex]y\approx 707.1[/tex]

Therefore, the required linear equation for the given situation is [tex]y=\dfrac{129}{40}x+\dfrac{2093}{4}[/tex] and the average score for persons taking a 57-hour review course is 707.1.

Answer:

thomas is 25 years old

Step-by-step explanation:

ratio = 3:1

3+1=4

total age=100

Thomas age = 1/4 × 100 = 25

Answer:

([tex]\frac{-7}{3}[/tex], [tex]\frac{4}{3}[/tex])

Step-by-step explanation:

Hi there!

We are given the following system of equations:

-3x-3y=3

-5x+y=13

and we need to find the solution (the point at which the 2 lines intersect)  

let's solve this by substitution, where we will set one variable equal to an expression containing the other variable, and then substitute that expression into the other equation to solve for the variable that the expression from earlier contains, and then use the value of the solved variable to find the value of the first variable

in the second equation, add 5x to both sides to isolate y by itself

y=5x+13

now substitute 5x+13 as y in -3x-3y=3

-3x-3(5x+13)=3

do the distributive property

-3x-15x-39=3

combine like terms

-18x-39=3

add 39 to both sides

-18x=42

divide both sides by -18

x=[tex]\frac{-7}{3}[/tex]

now we need to find y

remember: y=5x+13

substitute [tex]\frac{-7}{3}[/tex] as x in y=5x+13

y=5([tex]\frac{-7}{3}[/tex])+13

multiply

y=[tex]\frac{-35}{3}[/tex]+13

add

y=[tex]\frac{4}{3}[/tex]

So the answer is x=[tex]\frac{-7}{3}[/tex], y=[tex]\frac{4}{3}[/tex]. As a point, it's ([tex]\frac{-7}{3}[/tex], [tex]\frac{4}{3}[/tex])

Hope this helps! :)

Answer:

y int = -6

x = 1 axis symmetry

vertex : (1,-8)

x int: (3,0),(-1,0)

Step-by-step explanation:

Answer:

I've attached a picture of a unit circle with the quadrant labeled.

Calculate the degree of 5п 8 radians:

[tex]\frac{5\pi }{8} =\frac{5*180}{8} =\frac{900}{8} =112.5[/tex]

Locate the general location of 112.5° on the unit circle:

It's between 120°([tex]\frac{2\pi }{3}[/tex]) and 90°([tex]\frac{\pi }{2}[/tex]).

Find the quadrant it lies in:

Quadrant II

Answer:

-50

Step-by-step explanation:

Answer:

The perimeter is 109.8

Step-by-step explanation:

As we can see here, the angles of the triangles are congruent so we can say that both triangles are congruent

When two triangles are congruent, the ratio of their corresponding sides are equal

So we can get the scale factor here by looking at the sides facing each specific angle in both triangles

In the bigger triangle,

The side facing 34 degrees has a length of 30

In the smaller triangle,

The side facing 34 degree has a length of 27

So the scale factor to get the smaller from the bigger is 27/30 = 9/10 or 0.9

Likewise the side facing 51 degrees in the bigger is 40 while for the smaller, it is 36

So the ratio still stands at 36/40 = 9/10 or 0.9

In essence, the smaller triangle will have a perimeter that is 0.9 times that of the bigger

The perimeter of the bigger is simply the sum of the side lengths

We have this as;

(52 + 30 + 40) = 122

so that of the smaller would be;

122 * 0.9 = 109.8

Answer:

C. non collinear and coplanar

Option (C) non-collinear and co planar is the correct answer about the points R, L, and S.

A set of points in space are co planar, if there exists a geometric plane that contains them all.

Non-collinear points are points that do not lie on one straight line. The points are not collinear, when they are joined with each other, they form a triangle, which is a three-sided polygon.

For the given situation,

The diagram shows the plane M and the triangle.

In the diagram, all the points are lie on the same plane but the points are not lie on the same line.

Three points are always co planar, and if the points are distinct and non-collinear, the plane they determine is unique.

Hence we can conclude that option (C) non-collinear and co planar is the correct answer about the points R, L, and S.

Learn more about co planar and non-collinear here

https://brainly.com/question/24250339

#SPJ2

Answer:

Step-by-step explanation:

If cost price (CP) is greater than selling price (SP) , then the item is sold for loss.

Loss = CP - SP

Loss% = [tex]\frac{loss}{CP}*100[/tex]

If SP is greater than Cp, then the item is sold for a profit.

Profit =SP -CP

Gain % = [tex]\frac{gain}{CP}*100[/tex]

a)  CP = $50    ; SP = $30   ; CP > SP,  loss

Loss = 50 - 30 = $ 20

Loss % = [tex]\frac{20}{50}*100=20*2[/tex]

            = 40% loss

b) CP = £ 5000 ; SP = £6250  ; SP > CP ,  Profit

Profit = 6250 - 5000 = £ 1250

Profit % = [tex]\frac{1250}{5000}*100=25[/tex]

          25% Profit

Answer:

7

Step-by-step explanation:

Exterior Angle Theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

In this case:

(4x + 7) + (97) = (17x + 13)

4x + 104 = 17x + 13

4x + 91 = 17x

91 = 13x

7 = x

Answer:

113

Step-by-step explanation: